Greatest Common Factor of 3/64, 34/52, 41/879, 549/163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/64, 34/52, 41/879, 549/163

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3/64,34/52,41/879,549/163

Given fractions are 3/64,34/52,41/879,549/163

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3,34,41,549

Greatest Common Factor of Numerators i.e. GCF of 3,34,41,549 is 1 .

LCM of Denominators means LCM of 64,52,879,163 as per the given fractions.

LCM of 64,52,879,163 is 119206464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,34,41,549

GCF of Fractions 3/64,34/52,41/879,549/163 is 1/119206464

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3,34,41,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,34,41,549 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 3,34,41,549 . The biggest common factor number is the GCF number.
So the greatest common factor 3,34,41,549 is 1.

Lets's calculate LCM of 64,52,879,163

2 64, 52, 879, 163
2 32, 26, 879, 163
16, 13, 879, 163

∴ So the LCM of the given numbers is 2 x 2 x 16 x 13 x 879 x 163 = 119206464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119206464

Therefore, the GCF of Fractions 3/64,34/52,41/879,549/163 is 1/119206464

Least Common Multiple of 64,52,879,163 with GCF Formula

Least Common Multiple of 64,52,879,163 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,52,879,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,52,879,163) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,52,879,163) x common factors =1 x 4 = 4

LCM(64,52,879,163) = ( 64 × 52 × 879 × 163 ) / 4

LCM(64,52,879,163) = 476825856 / 4

LCM(64,52,879,163) = 119206464


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3/64, 34/52, 41/879, 549/163

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3/64, 34/52, 41/879, 549/163?

Answer: GCF of Numerators as per given numbers 3/64, 34/52, 41/879, 549/163 is

GCF of Numerators i.e. for 3,34,41,549 is 1

LCM of denominators i.e. for 64,52,879,163 is 119206464.

Thus, GCF of Fractions is 1/119206464.Finally, GCF of Fractions for 3/64, 34/52, 41/879, 549/163 is 1/119206464.